Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the value b in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

If a line has a slope of -2, how does it move on the graph?

Back

It moves down 2 units for every 1 unit it moves to the right.

Front

What is the y-intercept of the equation y = -4x + 5?

Back

The y-intercept is 5.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation is y = 1x - 3 or y = x - 3.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Back

Up 3, right 4.